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Finding the Fourth Proportional to 564,186.69, 778,578.35 and 309,538.89

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Solution

The fourth proportional to 564,186.69, 778,578.35 and 309,538.89 is: 427,164.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,186.69 : 778,578.35 = 309,538.89 : x
  2. Step 2: Convert to fraction form
    564,186.69/778,578.35 = 309,538.89/x
  3. Step 3: Cross multiply
    564,186.69x = 778,578.35 × 309,538.89
  4. Step 4: Simplify right side
    564,186.69x = 241,000,276,689.34
  5. Step 5: Solve for x
    x = 241,000,276,689.34/564,186.69
  6. Step 6: Final answer
    x = 427,164.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.